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Simplifying 40 + 5m = 5(7 + 2m) 40 + 5m = (7 * 5 + 2m * 5) 40 + 5m = (35 + 10m) Solving 40 + 5m = 35 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 40 + 5m + -10m = 35 + 10m + -10m Combine like terms: 5m + -10m = -5m 40 + -5m = 35 + 10m + -10m Combine like terms: 10m + -10m = 0 40 + -5m = 35 + 0 40 + -5m = 35 Add '-40' to each side of the equation. 40 + -40 + -5m = 35 + -40 Combine like terms: 40 + -40 = 0 0 + -5m = 35 + -40 -5m = 35 + -40 Combine like terms: 35 + -40 = -5 -5m = -5 Divide each side by '-5'. m = 1 Simplifying m = 1
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